Least Common Multiple of 427 and 430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 427 and 430 the smallest integer that is 183610 that is divisible by both numbers.

Least Common Multiple (LCM) of 427 and 430 is 183610.

LCM(427,430) = 183610

LCM of 427 and 430

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 427 and 430

LCM of 427 and 430 is 183610

Least common multiple can be found by multiplying the highest exponent prime factors of 427 and 430. First we will calculate the prime factors of 427 and 430.

Prime Factorization of 427


7 427
61 61
1

Prime factors of 427 are 7,61. Prime factorization of 427 in exponential form is:

427 = 71×611

Prime Factorization of 430


2 430
5 215
43 43
1

Prime factors of 430 are 2, 5,43. Prime factorization of 430 in exponential form is:

430 = 21×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 427 and 430.

LCM(427,430) = 21×51×71×431×611
LCM(427,430) = 183610

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Least Common Multiple of 427 and 430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 427 and 430, than apply into the LCM equation.

GCF(427,430) = 1
LCM(427,430) = ( 427 × 430) / 1
LCM(427,430) = 183610 / 1
LCM(427,430) = 183610

Properties of LCM 427 and 430

(i) The LCM of 430 and 427 is associative

LCM of 427 and 430 = LCM of 430 and 427

Related Least Common Multiples of 427

Related Least Common Multiples of 430

Frequently Asked Questions on LCM of 427 and 430

1. What is the LCM of 427 and 430?

Answer: LCM of 427 and 430 is 183610.

2. What are the Factors of 427?

Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.

3. What are the Factors of 430?

Answer: Factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430. There are 8 integers that are factors of 430. The greatest factor of 430 is 430.

4. How to Find the LCM of 427 and 430?

Answer:

Least Common Multiple of 427 and 430 = 183610

Step 1: Find the prime factorization of 427

427 = 7 x 61

Step 2: Find the prime factorization of 430

430 = 2 x 5 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 183610 = 2 x 5 x 7 x 43 x 61

Step 4: Therefore, the least common multiple of 427 and 430 is 183610.